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Lecture
Matrix Form and IO Analysis
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Related lectures (27)
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Matrix Operations: Product and Inverse
Covers matrix operations, focusing on the product and inverse of matrices.
Matrix of Cofactors and Inverse Matrix Formula
Covers the concept of the matrix of cofactors and a formula to calculate the inverse of a matrix.
Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Linear Algebra Review
Covers the basics of linear algebra, including matrix operations and singular value decomposition.
Matrix Operations: Transposition, Rank, and Basis Change
Covers matrix transposition, rank, and basis change in linear algebra, exploring invertibility criteria and basis relationships.
Matrix Multiplication and Inverses
Covers matrix product, inverses, and properties of invertible matrices.
Linear Algebra: Reduction of Linear Application
Covers the reduction of a linear application and finding corresponding reduced forms and bases.
Linear Systems: Diagonal and Triangular Matrices, LU Factorization
Covers linear systems, diagonal and triangular matrices, and LU factorization.
Matrix Inversion: Basics and Properties
Covers the basics of matrix inversion, properties of matrix multiplication, and the uniqueness of matrix inverses.